Research on Bertrand dual-oligopoly dynamic game model

By difference equation, we study the equilibrium solution and the dynamic change process of the Bertrand price competition model under the same condition of duopolistic market cost, give the model of dynamic change, come to the conclusion that whatever manufactures choose about price the equilibrium solution only exists, and prove that the manufacture´s price change process must be the monotonic process, and develop relative conclusions of the Bertrand model.